A reference for the covariant Hamiltonian boundary term
A reference for the covariant Hamiltonian boundary term
复制标题
DOI：
10.1007/978-3-319-06761-2_22
复制
发表时间：
2012-10
期刊：
影响因子：
--
通讯作者：
J. M. Nester;Chiang-Mei Chen;Jian-Liang Liu;Gang Sun
中科院分区：
文献类型：
--
作者：
J. M. Nester;Chiang-Mei Chen;Jian-Liang Liu;Gang Sun
动态几何的哈密顿量产生空间区域沿着向量场的演化。它包括一个边界项，它决定了哈密顿量和边界条件的值。该值给出了准局部量：能量动量、角动量/质心。边界项不仅取决于动力学变量，而且取决于它们的参考值;后者决定基态（具有消失的准局部量）。对于我们的首选边界项爱因斯坦的GR，我们提出了4D等距匹配和极值化的能量，以确定参考度量和连接值。
The Hamiltonian for dynamic geometry generates the evolution of a spatial region along a vector field. It includes a boundary term which determines both the value of the Hamiltonian and the boundary conditions. The value gives the quasi-local quantities: energy-momentum, angular-momentum/center-of-mass. The boundary term depends not only on the dynamical variables but also on their reference values; the latter determine the ground state (having vanishing quasi-local quantities). For our preferred boundary term for Einstein’s GR we propose 4D isometric matching and extremizing the energy to determine the reference metric and connection values.